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Finding the Fourth Proportional to 381,691.80, 572,537.70 and 213,730.20

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Solution

The fourth proportional to 381,691.80, 572,537.70 and 213,730.20 is: 320,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,691.80 : 572,537.70 = 213,730.20 : x
  2. Step 2: Convert to fraction form
    381,691.80/572,537.70 = 213,730.20/x
  3. Step 3: Cross multiply
    381,691.80x = 572,537.70 × 213,730.20
  4. Step 4: Simplify right side
    381,691.80x = 122,368,597,128.54
  5. Step 5: Solve for x
    x = 122,368,597,128.54/381,691.80
  6. Step 6: Final answer
    x = 320,595.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.